Open AccessFORCED VIBRATIONS OF ANISOTROPIC ELASTIC SOLIDS SUBJECTED TO AN ACTION OF COMPLICATED LOADS
Author(s) -
Елена Коренева,
Валерий Гросман
Publication year - 2019
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2019-15-3-77-83
Subject(s) - bessel function , vibration , action (physics) , concentric , anisotropy , mathematics , work (physics) , ring (chemistry) , mathematical analysis , geometry , structural engineering , mechanics , physics , acoustics , engineering , optics , chemistry , organic chemistry , quantum mechanics , thermodynamics
The work studies the forced vibrations of anisotropic elastic circular plates caused by dynamic loads uniformly distributed along concentric circumferences and over ring surfaces. The method of compensating loads (MCL) is used to solve the formulated problems. A new technique is used to construct basic and compensating solutions. The Nielsen’s equation is taken into consideration. The solutions are obtained in closed form in terms of Bessel functions. Formulae of addition of cylindrical functions are used.